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Finding the Fourth Proportional to 113.69, 156.76 and 76.79

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Solution

The fourth proportional to 113.69, 156.76 and 76.79 is: 105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 156.76 = 76.79 : x
  2. Step 2: Convert to fraction form
    113.69/156.76 = 76.79/x
  3. Step 3: Cross multiply
    113.69x = 156.76 × 76.79
  4. Step 4: Simplify right side
    113.69x = 12,037.80
  5. Step 5: Solve for x
    x = 12,037.80/113.69
  6. Step 6: Final answer
    x = 105.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.